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%I #4 Mar 31 2012 12:36:55
%S 1,2,17,116,2480,93046,5938485,852643276,227989002500
%N Number of nXnXn 0..6 triangular arrays with each element x equal to the number its neighbors equal to 4,3,2,1,1,0,0 for x=0,1,2,3,4,5,6
%C Every 0 is next to 0 4's, every 1 is next to 1 3's, every 2 is next to 2 2's, every 3 is next to 3 1's, every 4 is next to 4 1's, every 5 is next to 5 0's, every 6 is next to 6 0's
%e Some solutions with all values from 0 to 6 for 7X7X7
%e ........0..............2..............0..............0..............0
%e .......0.0............2.2............0.0............0.0............0.0
%e ......0.6.0..........1.0.0..........0.6.0..........0.6.0..........0.5.0
%e .....0.0.0.0........3.0.6.0........0.0.0.1........0.0.0.1........1.3.0.0
%e ....1.1.1.5.0......1.1.0.0.0......0.5.0.1.3......0.5.0.3.1......4.1.1.0.0
%e ...3.4.3.0.0.2....2.4.1.0.5.0....0.2.0.1.4.1....2.2.0.1.4.1....1.1.2.0.6.0
%e ..1.1.1.0.0.2.2..2.2.1.3.1.0.0..0.2.2.1.3.1.0..0.2.0.0.1.3.1..1.3.2.2.0.0.0
%K nonn
%O 1,2
%A _R. H. Hardin_ Dec 29 2011
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